Home
Class 12
MATHS
Obtain the reduction formula for intcos^...

Obtain the reduction formula for `intcos^(n)xdx`

Text Solution

AI Generated Solution

To derive the reduction formula for the integral \( I_n = \int \cos^n x \, dx \), we will follow a systematic approach using integration by parts. ### Step-by-Step Solution: 1. **Define the Integral**: Let \( I_n = \int \cos^n x \, dx \). 2. **Express \( \cos^n x \)**: ...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise EXERCISE -1 SUBJECTIVE QUESTIONS|1 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SUBJECTIVE QUESTIONS|14 Videos
  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

Similar Questions

Explore conceptually related problems

intcos^(2) x dx

intcos^5x dx

intcos^2n x\ dx

intcos^8xsinxdx

intcos(logx)/xdx

intcos^-1(1/x)dx

Deduce the reduction formula for I_(n)=int(dx)/(1+x^(4))^(n) and Hence evaluate I_(2)=int(x)/(1+x^(4))^(2) .

intcos^(3)x" " dx=

Obtain the dimensional formula for the Poisson's ratio.

intcos^4 2x\ dx